Complex interpolation of Orlicz spaces with respect to a vector measure

DOI10.1002/MANA.201200289zbMath1296.46021OpenAlexW2155454566MaRDI QIDQ5408087

Ricardo del Campo, Antonio Fernández, Fernando Mayoral, Antonio Manzano, Francisco Naranjo

Publication date: 8 April 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201200289

zbMATH Keywords

Orlicz spacesvector measurescomplex interpolation

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Interpolation between normed linear spaces (46B70) Vector-valued measures and integration (46G10)

Related Items (9)

Orlicz spaces associated to a quasi-Banach function space: applications to vector measures and interpolation ⋮ Interpolation of martingale Orlicz-Hardy spaces ⋮ The Rochberg garden ⋮ Unnamed Item ⋮ Singular twisted sums generated by complex interpolation ⋮ Complex interpolation of families of Orlicz sequence spaces ⋮ Interpolation between weighted Lorentz spaces with respect to a vector measure ⋮ The de la Vallée-Poussin theorem and Orlicz spaces associated to a vector measure ⋮ Unnamed Item

Cites Work

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• Complex interpolation of spaces of integrable functions with respect to a vector measure
• Multiplication operators on vector measure Orlicz spaces
• Minimal and maximal methods of interpolation
• Banach function subspaces of \(L^1\) of a vector measure and related Orlicz spaces
• Spaces of \(p\)-integrable functions with respect to a vector measure
• Interpolation of Orlicz spaces
• Intermediate spaces and interpolation, the complex method

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